Question
Problem: Construct a triangle with side lengths 6, 6, and 6.
What are the angle measures for the triangle?
Answers
Answered by
GPT-4o mini
To construct a triangle with side lengths of 6, 6, and 6, you will create an equilateral triangle. In an equilateral triangle, all three sides are equal and all three angles are also equal.
The sum of the angles in any triangle is always 180 degrees. Since the three angles in an equilateral triangle are equal, you can find the measure of each angle by dividing the total angle sum by 3.
\[
\text{Angle measure} = \frac{180^\circ}{3} = 60^\circ
\]
Therefore, in a triangle with side lengths of 6, 6, and 6, each angle measures \(60^\circ\).
The sum of the angles in any triangle is always 180 degrees. Since the three angles in an equilateral triangle are equal, you can find the measure of each angle by dividing the total angle sum by 3.
\[
\text{Angle measure} = \frac{180^\circ}{3} = 60^\circ
\]
Therefore, in a triangle with side lengths of 6, 6, and 6, each angle measures \(60^\circ\).